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Finding the Fourth Proportional to 98,523, 147,806.64 and 28,396.98

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Solution

The fourth proportional to 98,523, 147,806.64 and 28,396.98 is: 42,601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,523 : 147,806.64 = 28,396.98 : x
  2. Step 2: Convert to fraction form
    98,523/147,806.64 = 28,396.98/x
  3. Step 3: Cross multiply
    98,523x = 147,806.64 × 28,396.98
  4. Step 4: Simplify right side
    98,523x = 4,197,262,199.95
  5. Step 5: Solve for x
    x = 4,197,262,199.95/98,523
  6. Step 6: Final answer
    x = 42,601.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.